Energy-momentum tensor for a scalar field on manifolds with boundaries

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 69, Issue 8, 2004, Pages 16-

  Saharian, Aram A ^a,b  

^a YEREVAN STATE UNIVERSITY   (Armenia)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442643949     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.69.085005     Document Type: Article

References (60)

1. H.W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic Press, London, 1986), Vol. 10.
2. J.L. Cardy, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic Press, London, 1987), Vol. 11.
3. J. Isenberg and J. Nester, in General Relativity and Gravitation, edited by A. Held (Plenum Press, New York, 1980), Vol. 1.
4. T. Regge and C. Teitelboim, Ann. Phys. (N.Y.) 88, 286 (1974).
5. G.W. Gibbons and S.W. Hawking, Phys. Rev. D 15, 2752 (1977).
6. J.D. Brown and J.W. York, Phys. Rev. D 47, 1407 (1993).
7. G. Hayward, Phys. Rev. D 47, 3275 (1993).
8. S.W. Hawking and G.T. Horowitz, Class. Quantum Grav. 13, 1487 (1996).
9. S.W. Hawking and C.J. Hunter, Class. Quantum Grav. 13, 2735 (1996).
10. I.S. Booth and R.B. Mann, Phys. Rev. D 59, 064021 (1999).
11. V. Balasubramanian and P. Krauss, Commun. Math. Phys. 208, 413 (1999).
12. P. Krauss, F. Larsen, and R. Siebelink, Nucl. Phys. B563, 259 (1999).
13. R.-G. Cai and N. Ohta, Phys. Rev. D 62, 024006 (2000).
14. S.N. Solodukhin, Phys. Rev. D 62, 044016 (2000).
15. S. Nojiri and S.D. Odintsov, Phys. Rev. D 62, 064018 (2000).
16. J.D. Brown, S.R. Lau, and J.W. York, Ann. Phys. (N.Y.) 297, 175 (2002).
17. G. Esposito, A. Yu. Kamenshchik, and G. Polifrone, Euclidean Quantum Gravity on Manifolds with Boundary (Kluwer, Dordrecht, 1997).
18. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000).
19. L. Smolin, Nucl. Phys. B601, 209 (2001).
20. R. Bousso, Rev. Mod. Phys. 74, 825 (2002).
21. S. Carlip, Nucl. Phys. B (Proc. Suppl.) 88, 10 (2000).
22. J.A. Cardy, Nucl. Phys. B270, 186 (1986).
23. H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948).
24. V.M. Mostepanenko and N.N. Trunov, The Casimir Effect and Its Applications (Clarendon, Oxford, 1997).
25. G. Plunien, B. Muller, and W. Greiner, Phys. Rep. 134, 87 (1986).
26. S.K. Lamoreaux, Am. J. Phys. 67, 850 (1999).
27. The Casimir Effect: 50 Years Later, edited by M. Bordag (World Scientific, Singapore, 1999).
28. M. Bordag, U. Mohideen, and V.M. Mostepanenko, Phys. Rep. 353, 1 (2001).
29. K. Kirsten, Spectral Functions in Mathematics and Physics (CRC Press, Boca Raton, 2001).
30. Proceedings of the Fifth Workshop on Quantum Field Theory under the Influence of External Conditions, edited by M. Bordag [Int. J. Mod. Phys. A 17, No. 6&7 (2002)].
31. K.A. Milton, The Casimir Effect: Physical Manifestation of Zero-Point Energy (World Scientific, Singapore, 2002).
32. S.K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997)
33. Phys. Rev. Lett.U. Mohideen and A. Roy, 81, 4549 (1998)
34. B.W. Harris, F. Chen, and U. Mohideen, Phys. Rev. A 62, 052109 (2000)
35. H.B. Chan, Science 291, 1941 (2001)
36. G. Bressi, G. Carugno, R. Onofrio, and G. Ruosso, Phys. Rev. Lett. 88, 041804 (2002)
37. F. Chen, U. Mohideen, G.L. Klimchitskaya, and V.M. Mostepanenko, Phys. Rev. A 66, 032113 (2002).
38. A. Lambrecht and S. Reynaud, quant-ph/0302073.
39. A. Romeo and A.A. Saharian, J. Phys. A 35, 1297 (2002).
40. A.A. Saharian, Phys. Rev. D 63, 125007 (2001).
41. A. Romeo and A.A. Saharian, Phys. Rev. D 63, 105019 (2001).
42. S.A. Fulling, J. Phys. A 36, 6857 (2003).
43. R. Balian and B. Duplantier, Ann. Phys. (N.Y.) 112, 165 (1978).
44. D. Deutsch and P. Candelas, Phys. Rev. D 20, 3063 (1979).
45. G. Kennedy, R. Critchley, and J.S. Dowker, Ann. Phys. (N.Y.) 125, 346 (1980).
46. K. Symanzik, Nucl. Phys. B190, 1 (1981).
47. L. Vanzo, J. Math. Phys. 34, 5625 (1993).
48. N.D. Birrell and P.C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).
49. P. Candelas and D. Deutsch, Proc. R. Soc. London A354, 79 (1977).
50. A.A. Saharian, Class. Quantum Grav. 19, 5039 (2002).
51. R.M. Avagyan, A.A. Saharian, and A.H. Yeranyan, Phys. Rev. D 66, 085023 (2002).
52. A.A. Saharian, R.S. Davtyan, and A.H. Yeranyan, Phys. Rev. D (to be published), hep-th/0307163.
53. S.K. Blau, M. Visser, and A. Wipf, Nucl. Phys. B310, 1631 (1988).
54. E. Elizalde, S.D. Odintsov, A. Romeo, A.A. Bytsenko, and S. Zerbini, Zeta Regularization Techniques with Applications (World Scientific, Singapore, 1994).
55. S. Leseduarte and A. Romeo, Ann. Phys. (N.Y.) 250, 448 (1996).
56. E. Cognola, E. Elizalde, and K. Kirsten, J. Phys. A 34, 7311 (2001).
57. M. Bordag, E. Elizalde, and K. Kirsten, J. Math. Phys. 37, 895 (1996).
58. Handbook of Mathematical Functions, edited by M. Abramowitz and I.A. Stegun (Dover, New York, 1972).
59. A.A. Saharian, Izv. AN Arm. SSR. Matematika 22, 166 (1987) [Sov. J. Contemp. Math. Anal. 22, 70 (1987)];A.A. Saharian, Ph.D. thesis, Yerevan, 1987 (in Russian).
60. A.A. Saharian, “The generalized Abel-Plana formula. Applications to Bessel functions and Casimir effect,” Report No. IC/2000/14, hep-th/0002239.